152.6 is what percent of 149.98 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 149.98 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 149.98, so we can write it down as 100%=149.98.
4. We know, that x% equals 152.6 of the output value, so we can write it down as x%=152.6.
5. Now we have two simple equations:
1) 100%=149.98
2) x%=152.6
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=149.98/152.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 152.6 is what percent of 149.98

100%/x%=149.98/152.6
(100/x)*x=(149.98/152.6)*x       - we multiply both sides of the equation by x
100=0.98283093053735*x       - we divide both sides of the equation by (0.98283093053735) to get x
100/0.98283093053735=x
101.74689958661=x
x=101.74689958661

now we have:
152.6 is 101.74689958661% of 149.98